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一类半正二阶三点边值问题正解的存在性

Existence of Positive Solution for A Semi-Positive Second-Order Three-Point Boundary Value Problem
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摘要 研究了一类半正二阶非线性常微分方程的三点边值问题正解的存在性,利用Krasnoselskii锥拉伸锥压缩型不动点定理得到了正解存在的两个充分条件. This paper investigated the existence of positive solutions for a semi-positone second-order three-point boundary value problem and obtained two sufficient conditions that guarantee the existence of the positive solutions by using Krasnosel'skii fixed point theorem.
作者 许也平
出处 《杭州师范大学学报(自然科学版)》 CAS 2011年第5期411-415,共5页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 浙江省教育厅科研基金项目(Y200804663)
关键词 半正 三点边值问题 正解 存在性 不动点定理 semi-positone three-point boundary value problem positive solutions existence fixed point theorem
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参考文献7

  • 1Khan A, Rafique M. Existence and multiplicity results for some three-point boundary value problems[J]. Nonl Anal, 2007,66(8) :1686- 1697.
  • 2Liu Bingmei, Liu Lishan, Wu Yonghong. Positive solutions for singular second order three-point boundary value problems[J]. Non1 A- nal, 2007,66(12) :2756-2766.
  • 3Zhang Qiumei, Jiang Daqing. Multiple solutions to semipositone Dirichlet boundary value problems with singular dependent nonlineari- ties for second order three-point differential equations[J]. Comput Math Appl,2010,59(8):2516-2527.
  • 4Ma Ruyun. Positive solutions of a nonlinear three-point boundary value problems[J]. Electron J Differential Equations, 1999,1999(34) :1-8.
  • 5Liu Bing. Positive solutions of a nonlinear three-point boundary value problem[J]. Appl Mathe Comput,2002,132(1) :11-28.
  • 6孙永平.一类半正二阶三点边值问题正解的存在性[J].浙江师范大学学报(自然科学版),2004,27(4):329-333. 被引量:2
  • 7刘玉玲.一类半正二阶三点边值问题的正解存在性[J].纺织高校基础科学学报,2006,19(3):256-258. 被引量:7

二级参考文献10

  • 1郭大均.非线性泛函分析[M].济南:山东科学技术出版社,1985..
  • 2Ma R. Existence theorems for second order three-point boundary value problems[J]. J Math Anal Appl, 1997(212): 545-555.
  • 3Gupta C P. Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equations[J]. J Math Anal Appl,1992(168): 540-551.
  • 4Gupta C P, Trofimchuk S I. A sharper condition for the solvability of a three-point second order boundary value problem[J]. J Math Anal Appl,1997(205): 586-597.
  • 5Ma R. Positive solutions of a nonlinear three-point boundary value problems[J]. Electron J Differential Equations, 1999 (34):1-8.
  • 6Liu B. Positive solutions of a nonlinear three-point boundary value problem[J]. Applied Mathematics and Computation, 2002 (132):11-28.
  • 7MA Ruyun.Positive solutions of nonlinear three-piont boundary value problems[J].J Math Anal Appl,2003,279(1):216-227.
  • 8GUPTA C P.A sharper condition for the solvability of a three-piont second order boundary value problem[J].J Math Anal Appl,1997,205(2):586-597.
  • 9马宇红,马如云.次线性半正边值问题的正解[J].Journal of Mathematical Research and Exposition,2002,22(4):621-625. 被引量:5
  • 10姚庆六.非线性二阶三点边值问题正解的一个存在定理[J].系统科学与数学,2003,23(4):495-500. 被引量:19

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